13020033 has 16 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 7859904.

The previous prime is 13020017. The next prime is 13020037. The reversal of 13020033 is 33002031.

It is a happy number.

It is not a de Polignac number, because 13020033 - 2⁴ = 13020017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^13020033 is an apocalyptic number.

13020033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13020033 is a deficient number, since it is larger than the sum of its proper divisors (6031167).

13020033 is a wasteful number, since it uses less digits than its factorization.

13020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13020033 is about 3608.3282832913. The cubic root of 13020033 is about 235.2541870095.

Adding to 13020033 its reverse (33002031), we get a palindrome (46022064).

The spelling of 13020033 in words is "thirteen million, twenty thousand, thirty-three".